arXiv:math/9802124 Abstract

arXiv:math/9802124 [math.AP]Abstract References Reviews Resources

On Time-Dependant Symmetries of Schroedinger Equation

Published 1998-02-27Version 1

We show that the number of symmetry operators of order not higher that q of the nonstationary n-dimensional (n=1,2,3,4) Schroedinger equation (SE) with nonvanishing potentials is finite and does not exceed that of SE with zero potentials for arbitrary q=0,1,2,... . This result is applied for the determination of the general form of time dependance of the symmetry operators of SE with time-independant potentials.

Comments: 7 pages, Latex, no figures

Categories: math.AP, math-ph, math.MP, nlin.SI, solv-int

Keywords: schroedinger equation, time-dependant symmetries, symmetry operators, general form, zero potentials

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